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Determination of the Glueball Mass Spectrum with the Spin-Orbit Interaction

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Abstract.

Based on the investigation of the asymptotic behaviour of the polarization loop function for scalar charged particles in an external gauge field we determine the interaction Hamiltonian including the nonperturbative corrections of the relativistic character of motion and the large coupling constant. The mass spectrum of the bound state is analytically derived. The mechanism for arising of the constituent mass of the bound-state forming particles is explained. The change of the bound-state mass and of the constituent mass of particles is analyzed by varying the coupling constant. The mass spectrum of the two-gluon glueball is calculated taking into account spin-orbit and spin-spin interactions.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    M. Dineykhan & S. A. Zhaugasheva

  2. Al-Farabi Kazak National University, 480012, Almaty, Kazakhstan

    S. A. Zhaugasheva, T. A. Kozhamkulov & Ye. V. Petrov

Authors
  1. M. Dineykhan
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  2. S. A. Zhaugasheva
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  3. T. A. Kozhamkulov
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  4. Ye. V. Petrov
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Dineykhan, M., Zhaugasheva, S., Kozhamkulov, T. et al. Determination of the Glueball Mass Spectrum with the Spin-Orbit Interaction. Few-Body Systems 37, 49–69 (2005). https://doi.org/10.1007/s00601-004-0069-8

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  • DOI: https://doi.org/10.1007/s00601-004-0069-8

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